7970124066912 has 1536 divisors, whose sum is σ = 30488887296000. Its totient is φ = 1972720189440.

The previous prime is 7970124066907. The next prime is 7970124066917. The reversal of 7970124066912 is 2196604210797.

7970124066912 is a `hidden beast` number, since 79 + 70 + 12 + 406 + 6 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7970124066907) and next prime (7970124066917).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7970124066917) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7291970238 + ... + 7291971330.

It is an arithmetic number, because the mean of its divisors is an integer number (19849536000).

Almost surely, 2^{7970124066912} is an apocalyptic number.

7970124066912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970124066912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15244443648000).

7970124066912 is an abundant number, since it is smaller than the sum of its proper divisors (22518763229088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7970124066912 is a wasteful number, since it uses less digits than its factorization.

7970124066912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 7970124066912 in words is "seven trillion, nine hundred seventy billion, one hundred twenty-four million, sixty-six thousand, nine hundred twelve".